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Finding the Third Proportional to 288,384 and 616,624

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Solution

The third proportional to 288,384 and 616,624 is: 1,318,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,384 : 616,624 = 616,624 : x
  2. Step 2: Convert to fraction form
    288,384/616,624 = 616,624/x
  3. Step 3: Cross multiply
    288,384x = 616,624 × 616,624
  4. Step 4: Simplify right side
    288,384x = 380,225,157,376
  5. Step 5: Solve for x
    x = 380,225,157,376/288,384
  6. Step 6: Final answer
    x = 1,318,468.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.